Question

which angles are alternate exterior angles? ∠ghk and ∠ihf ∠ihf and ∠ihk ∠ghf and ∠lkm ∠jkh and ∠ghf

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are non - adjacent angles formed by two parallel lines and a transversal, lying outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each pair

• For $\angle GHK$ and $\angle IHF$:
• Assume $JL\parallel GI$ (from the figure's appearance of parallel - like lines). The transversal is $MF$.
• $\angle GHK$ and $\angle IHF$ are non - adjacent, lie outside the "parallel" lines ($JL$ and $GI$) and on opposite sides of the transversal $MF$.
• For $\angle IHF$ and $\angle IHK$: They are adjacent angles (share a common side $HI$), so not alternate exterior angles.
• For $\angle GHF$ and $\angle LKM$: $\angle GHF$ is formed by $GI$ and $MF$, $\angle LKM$ is formed by $JL$ and $MF$. But their positions do not satisfy the alternate exterior angles' position (not on opposite sides in the correct sense for the "parallel" lines assumption).
• For $\angle JKH$ and $\angle GHF$: Their positions do not meet the non - adjacent, outside the "parallel" lines and opposite sides of the transversal criteria.

Answer:

$\angle GHK$ and $\angle IHF$